a sphere and a right cylinder have the same radius and volume. the cylinder has a height of 8 feet. find the radius.

The sum of three consecutive integers is 162. What are the integers?

Paha777 [63]

Answer:

53, 54, 55

Step-by-step explanation:

The average of the three is the middle one. The average is the sum, divided by 3: 162/3 = 54.

The three integers are 53, 54, 55.

4 0

3 years ago

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

$\frac{x}{y}=9}$

3 0

4 years ago

How do you do these. can you tell if repeating or terminating.

castortr0y [4]

Change the fractions into decimals first.
If the decimal is for example 1.56565656... and so on, it is repeating. Because as you can see, the number 56 is repeating. If the decimal is for example 1.456 and there is no number afterwards, means that it is terminating.

8 0

4 years ago

The graph of a proportional relationship is a line through the Origin whose______

Vilka [71]

<span>B-Slope
</span>
<span>C-rate of change

</span>
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

3 0

4 years ago

Y=x3 is that a function?

kotykmax [81]

Answer:

yes

Step-by-step explanation:

y(x) is even or odd according as y(−x)=±y(x) . Here, #y(-x)=-(-x)^3=-(-x^3)=x^3=-y(x). So, y is an odd function of x.

5 0

3 years ago

a sphere and a right cylinder have the same radius and volume. the cylinder has a height of 8 feet. find the radius.​

a sphere and a right cylinder have the same radius and volume. the cylinder has a height of 8 feet. find the radius.